Robust fuel- and time-optimal control of uncertain flexible space structures

Wie, Bong; Sinha, Ravi; Sunkel, John W.; Cox, K. J.

doi:10.2514/6.1993-3804

Cited by 22 publications

(5 citation statements)

References 8 publications

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“…Including fuel expenditure as a performance criteria may be necessary in applications such as spacecraft control because the fuel is expensive and a limited amount can be carried into space. Previous work has produced methods that generate fuel-minimum command profiles (Meyer and Silverberg, 1996) or fuel/time optimal profiles (VanderVelde and He, 1983;Wie et al, 1993;Singh, 1995). These methods have not attempted to specify the exact amount of fuel used.…”

Section: Introductionmentioning

confidence: 99%

On-Off Control With Specified Fuel Usage

Singhose

Singh

Seering

1999

Journal of Dynamic Systems, Measurement, and Control

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A method for generating on-off command profiles for flexible systems is presented. The command profiles move a system without residual vibration while using a specified amount of actuator fuel. Robustness to modeling errors can be incorporated into the design of the command signals. Techniques are presented that facilitate implementation and indicate prudent choices for the amount of fuel to be used. The method is compared to other command generation techniques that balance fuel usage and slew time.

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Section: Introductionmentioning

confidence: 99%

On-Off Control With Specified Fuel Usage

Singhose

Singh

Seering

1999

Journal of Dynamic Systems, Measurement, and Control

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“…When the three phasor vectors sum to zero, they can be placed as a triangle in the vector space as shown in Figure 4 and the magnitude of the residual oscillation Amp(t 1 , t 2 , t 3 ) is zero. By solving for α 2 and α 3 with the law of cosines and Equation (13), respectively, the impulse times of the UMZV DRF shaper for the start motion yield are as follows:…”

Section: Analytical Deflection Reduction Shaping Commandmentioning

confidence: 99%

“…Many techniques have been proposed to generate input shaped commands that are time optimal [8][9][10][11], limit transient deflection [12], and limit fuel consumption [13,14] using reliable optimization algorithms. Some practical developments based on input shaping have been made by considering robustness [15], limitation of transient deflection [16], and fuel efficiency [17].…”

Section: Introductionmentioning

confidence: 99%

Deflection Reduction Shaping Commands with Asymmetric First-Order Actuators

Sung

Kim

2019

Applied Sciences

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In this paper, two approaches for generating deflection reduction shaping commands are proposed to reduce the transient and residual deflections of flexible systems subject to asymmetric first-order actuators. The commands are limited-state in that they consist of two positive actuations of different magnitudes and one negative actuation, similar to on-off-on commands. Standard on–off commands that are commonly used in robots, cranes, and spacecrafts can degrade the control performance of conventional input-shaped commands and cause detrimental damage resulting from large transient deflections of flexible structures due to asymmetric first-order actuators. Therefore, to cope with the performance degradation resulting from the effects of first-order actuators, an approximated closed-form solution and a numerically optimized approach for deflection reduction shaping commands are presented with an exponential function, final impulse magnitude modification of an input shaper is determined by a transient deflection constraint and a phasor vector approach. The performance assessment showed that the approximated analytical approach has an advantage in real-time control applications. The characteristics of the proposed deflection reduction shaping commands are analyzed with respect to system parameters, deflection reduction ratios, and actuator time constants. The proposed command shaping techniques are numerically evaluated using a pendulum system and are experimentally validated on a mini-bridge crane.

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“…Another class of open-loop controller which focuses on rest-to-rest maneuvers such a time-optimal [13][14][15] fuel-time optimal [16,17], jerk-limited time-optimal [18,19] which explicitly includes control constraints has also been the focus of numerous researchers over the past three decades. All the aforementioned papers deal with state-to-state transition.…”

Section: Introductionmentioning

confidence: 99%

Time-Optimal Output Transition for Minimum-Phase Systems

Haggerty¹,

Singh

2013

Journal of Dynamic Systems, Measurement, and Control

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The time-optimal output transition control problem for stable or marginally stable systems with minimum-phase zeros is discussed in this paper. A double integrator system with a real left-half plane zero is used to illustrate the development of the time-optimal output transition controller. It is shown that an exponentially decaying postactuation control profile is necessary to maintain the output at the desired final location. It is shown that the resulting solution to the output transition time-optimal control profile can be generated by a time-delay filter whose zeros and poles cancels the poles and zeros of the system to be controlled. The design of the time-optimal output transition problem is generalized and illustrated on the benchmark floating oscillator problem.

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Robust fuel- and time-optimal control of uncertain flexible space structures

Cited by 22 publications

References 8 publications

On-Off Control With Specified Fuel Usage

On-Off Control With Specified Fuel Usage

Deflection Reduction Shaping Commands with Asymmetric First-Order Actuators

Time-Optimal Output Transition for Minimum-Phase Systems

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